Record:   Prev Next
Author Baik, Jinho, 1973-
Title Combinatorics and random matrix theory / [electronic resource] Jinho Baik, Percy Deift, Toufic Suidan
Imprint Providence, Rhode Island : American Mathematical Society, [2016]
book jacket
Descript 1 online resource (xi, 461 pages : illustrations)
text rdacontent
unmediated rdamedia
volume rdacarrier
Series Graduate Studies in Mathematics, v. 172
Note Includes bibliographical references and index
Chapter 1. Introduction Chapter 2. Poissonization and de-Poissonization Chapter 3. Permutations and Young tableaux Chapter 4. Bounds of the expected value of $\ell _N$ Chapter 5. Orthogonal polynomials, Riemann-Hilbert problems, and Toeplitz matrices Chapter 6. Random matrix theory Chapter 7. Toeplitz determinant formula Chapter 8. Fredholm determinant formula Chapter 9. Asymptotic results Chapter 10. Schur measure and directed last passage percolation Chapter 11. Determinantal point processes Chapter 12. Tiling of the Aztec diamond Chapter 13. The Dyson process and Brownian Dyson process Appendix A. Theory of trace class operators and Fredholm determinants Appendix B. Steepest-descent method for the asymptotic evaluation of integrals in the complex plane Appendix C. Basic results of stochastic calculus
Access is restricted to licensed institutions
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016
Mode of access : World Wide Web
Description based on print version record
Link Print version: Baik, Jinho, 1973- Combinatorics and random matrix theory / (DLC) 2015051274 1065-7339 9780821848418
Subject Random matrices
Combinatorial analysis
Combinatorics -- Enumerative combinatorics -- Exact enumeration problems, generating functions. msc
Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices. msc
Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlevé-type functions. msc
Partial differential equations -- Equations of mathematical physics and other areas of application -- Riemann-Hilbert problems. msc
Approximations and expansions -- Approximations and expansions -- Asymptotic approximations, asymptotic expansions (steepest descent, etc.). msc
Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operators. msc
Convex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions. msc
Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52). msc
Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory. msc
Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Exactly solvable dynamic models. msc
Alt Author Deift, Percy, 1945-
Suidan, Toufic Mubadda, 1975-
Record:   Prev Next